On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces

	On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces
International Journal of Nonlinear Analysis and Applications
مقاله 25، دوره 8، شماره 2، 2017، صفحه 293-306 اصل مقاله (428.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.11887.1594
نویسندگان
Akindele Adebayo Mebawondu^* ؛ Lateef Jolaoso؛ Hammed Abass
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
چکیده
In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $\Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results on uniformly convex Banach spaces, CAT(0) spaces and many other results in this direction.
کلیدواژه‌ها
Banach operator؛ uniformly convex hyperbolic spaces؛ strong and $Delta$-convergence theorem؛ Modified Picard Normal S-iteration
آمار تعداد مشاهده مقاله: 44,285 تعداد دریافت فایل اصل مقاله: 51,632

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